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Finding the Fourth Proportional to 19,187.64, 28,716.44 and 11,796.80

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Solution

The fourth proportional to 19,187.64, 28,716.44 and 11,796.80 is: 17,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,187.64 : 28,716.44 = 11,796.80 : x
  2. Step 2: Convert to fraction form
    19,187.64/28,716.44 = 11,796.80/x
  3. Step 3: Cross multiply
    19,187.64x = 28,716.44 × 11,796.80
  4. Step 4: Simplify right side
    19,187.64x = 338,762,099.39
  5. Step 5: Solve for x
    x = 338,762,099.39/19,187.64
  6. Step 6: Final answer
    x = 17,655.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.